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Finding the Fourth Proportional to 1,264.24, 1,744.59 and 704.77

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Solution

The fourth proportional to 1,264.24, 1,744.59 and 704.77 is: 972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.24 : 1,744.59 = 704.77 : x
  2. Step 2: Convert to fraction form
    1,264.24/1,744.59 = 704.77/x
  3. Step 3: Cross multiply
    1,264.24x = 1,744.59 × 704.77
  4. Step 4: Simplify right side
    1,264.24x = 1,229,530.33
  5. Step 5: Solve for x
    x = 1,229,530.33/1,264.24
  6. Step 6: Final answer
    x = 972.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.